Top-level heading

Bose fluids and positive solutions to weakly coupled elliptic system in the plane

Data e ora inizio evento
Data e ora fine evento
Sede

Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma

Aula
Sala di Consiglio
Speaker

Daniele Cassani (Università dell'Insubria)

We prove, using variational methods, the existence in dimension two of positive vector ground states solutions for Bose-Einstein type systems. The nonlinear interaction between two Bose fluids is assumed to be of critical exponential type in the sense of J. Moser. For “small" solutions the system is asymptotically equivalent to the corresponding one with power-like nonlinearities, recently deeply studied in higher dimensions. (In collaboration with H. Tavares and J. Zhang, to appear in JDE).